Question

The greatest integer that divides $358,376$ and $334$ leaving the same remainder in each case is

• A. $6$
• B. $7$
• C. $8$
• D. $9$

Answer 1

The correct option is A $6$

Given $358,334,376$

Let 'n' be the common integer , r commom reminder.

$\Rightarrow 376=na+r$

$\Rightarrow 358=nb+r$

$\Rightarrow 334=nc+r$

$376-358=n(a-b)=18=3\times 6$

$358-334=n(b-c)=24=4\times 6$

$\therefore n=6$